Course 3 Chapter 5 Lesson 7

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5-7
Transformations
Lesson Presentation
Pre-Algebra
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Learn to transform plane figures using
translations, rotations, and reflections.
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Vocabulary
transformation translation rotation center of
rotation reflection image
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When you are on an amusement park ride, you are
undergoing a transformation. Ferris wheels and
merry-go-rounds are rotations. Free fall rides
and water slides are translations.
Translations, rotations, and reflections are
type of transformations.
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The resulting figure or image, of a translation,
rotation or reflection is congruent to the
original figure.
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Identify each as a translation, rotation,
reflection, or none of these.
A.
B.
rotation
reflection
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Identify each as a translation, rotation,
reflection, or none of these.
C.
D.
none of the these
translation
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Draw the image of the triangle after the
transformation.
A. Translation along AB so that A coincides with
B
A
B
C
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Draw the image of the triangle after the
transformation.
B. Reflection across BC.
A
B
C
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Draw the image of the triangle after the
transformation.
C. 90 clockwise rotation around point B
A
B
C
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Draw the image of the polygon after the
transformation.
B
C
A
F
D
E
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Draw the image of a triangle with vertices of
(1, 1), (2, 2 ), and (5, 0) after each
transformation.
A. 180 counterclockwise rotation around (0, 0)
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Draw the image of a triangle with vertices of
(1, 1), (2, 2 ), and (5, 0) after each
transformation.
B. Translation 5 units left
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Lesson Quiz Part 1
Given the coordinates for the vertices of each
pair of quadrilaterals, determine whether each
pair represents a translation, rotation,
reflection, or none of these.
1. (2, 2), (4, 0), (3, 5), (6, 4) and (3,
1), (5, 3), (4, 2), (7, 1)
translation
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Lesson Quiz Part 1
Given the coordinates for the vertices of each
pair of quadrilaterals, determine whether each
pair represents a translation, rotation,
reflection, or none of these.
2. (2, 3), (5, 5), (1, 2), (5, 4) and (2,
3), (5, 5), (1, 2), (5, 4)
reflection
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Lesson Quiz Part 2
Given the coordinates for the vertices of each
pair of quadrilaterals, determine whether each
pair represents a translation, rotation,
reflection, or none of these.
3. (1, 3), (1, 2), (2, 3), (4, 0) and (1,
3), (1, 2), (2, 3), (4, 0)
none
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Lesson Quiz Part 2
Given the coordinates for the vertices of each
pair of quadrilaterals, determine whether each
pair represents a translation, rotation,
reflection, or none of these.
4. (4, 1), (1, 2), (4, 5), (1, 5) and (4,
1), (1, 2), (4, 5), (1, 5)
rotation
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Homework

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